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1249344 = 2634241
BaseRepresentation
bin100110001000001000000
32100110210000
410301001000
5304434334
642440000
713422255
oct4610100
92313700
101249344
11783718
12503000
13349875
1424742c
1519a299
hex131040

1249344 has 70 divisors (see below), whose sum is σ = 3718814. Its totient is φ = 414720.

The previous prime is 1249343. The next prime is 1249361. The reversal of 1249344 is 4439421.

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 82944 = 1080^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1249343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5064 + ... + 5304.

21249344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859407).

1249344 is an abundant number, since it is smaller than the sum of its proper divisors (2469470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1249344 is an equidigital number, since it uses as much as digits as its factorization.

1249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1249344 is about 1117.7405781307. The cubic root of 1249344 is about 107.7028870821.

The spelling of 1249344 in words is "one million, two hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 241 288 324 432 482 576 648 723 864 964 1296 1446 1728 1928 2169 2592 2892 3856 4338 5184 5784 6507 7712 8676 11568 13014 15424 17352 19521 23136 26028 34704 39042 46272 52056 69408 78084 104112 138816 156168 208224 312336 416448 624672 1249344